10505031825 has 24 divisors (see below), whose sum is σ = 17409823200. Its totient is φ = 5589295360.

The previous prime is 10505031821. The next prime is 10505031827. The reversal of 10505031825 is 52813050501.

It is not a de Polignac number, because 10505031825 - 2² = 10505031821 is a prime.

It is a super-2 number, since 2×10505031825² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10505031792 and 10505031801.

It is not an unprimeable number, because it can be changed into a prime (10505031821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135720 + ... + 198569.

It is an arithmetic number, because the mean of its divisors is an integer number (725409300).

Almost surely, 2^10505031825 is an apocalyptic number.

10505031825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10505031825 is a deficient number, since it is larger than the sum of its proper divisors (6904791375).

10505031825 is a wasteful number, since it uses less digits than its factorization.

10505031825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334721 (or 334716 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 10505031825 in words is "ten billion, five hundred five million, thirty-one thousand, eight hundred twenty-five".